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Finding the Fourth Proportional to 256,052.58, 383,335.11 and 149,110.50

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Solution

The fourth proportional to 256,052.58, 383,335.11 and 149,110.50 is: 223,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,052.58 : 383,335.11 = 149,110.50 : x
  2. Step 2: Convert to fraction form
    256,052.58/383,335.11 = 149,110.50/x
  3. Step 3: Cross multiply
    256,052.58x = 383,335.11 × 149,110.50
  4. Step 4: Simplify right side
    256,052.58x = 57,159,289,919.66
  5. Step 5: Solve for x
    x = 57,159,289,919.66/256,052.58
  6. Step 6: Final answer
    x = 223,232.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.